Why is Set<? extends Foo> allowed, but Set<Foo> is not [duplicate]
This question already has an answer here:
Java nested generic type mismatch
5 answers
What is PECS (Producer Extends Consumer Super)?
12 answers
I want to know how generics work in this kind of situation and why
Set<? extends Foo<?>> set3 = set1;
is allowed but Set<Foo<?>> set2 = set1;
is not?
import java.util.HashSet;
import java.util.Set;
public class TestGenerics {
public static <T> void test() {
Set<T> set1 = new HashSet<>();
Set<?> set2 = set1; // OK
}
public static <T> void test2() {
Set<Foo<T>> set1 = new HashSet<>();
Set<Foo<?>> set2 = set1; // COMPILATION ERROR
Set<? extends Foo<?>> set3 = set1; // OK
}
}
class Foo<T> {}
java generics
marked as duplicate by Lino, aminography, Andy Turner
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Jan 9 at 13:50
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
add a comment |
This question already has an answer here:
Java nested generic type mismatch
5 answers
What is PECS (Producer Extends Consumer Super)?
12 answers
I want to know how generics work in this kind of situation and why
Set<? extends Foo<?>> set3 = set1;
is allowed but Set<Foo<?>> set2 = set1;
is not?
import java.util.HashSet;
import java.util.Set;
public class TestGenerics {
public static <T> void test() {
Set<T> set1 = new HashSet<>();
Set<?> set2 = set1; // OK
}
public static <T> void test2() {
Set<Foo<T>> set1 = new HashSet<>();
Set<Foo<?>> set2 = set1; // COMPILATION ERROR
Set<? extends Foo<?>> set3 = set1; // OK
}
}
class Foo<T> {}
java generics
marked as duplicate by Lino, aminography, Andy Turner
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Jan 9 at 13:50
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
An interesting reading about this "issue": stackoverflow.com/a/4343547/7709086
– kagmole
Jan 9 at 9:07
2
@Lino: This question is similar to and related to "What is PECS", but not exactly the same. This question is about PECS, but specifically applied to the case when the type arguments themselves are types which have type parameters. That makes this a particularly tricky special case, which warrants its own question. (But I'd be surprised if there is no other exactly duplicate question some where.)
– Lii
Jan 9 at 11:11
add a comment |
This question already has an answer here:
Java nested generic type mismatch
5 answers
What is PECS (Producer Extends Consumer Super)?
12 answers
I want to know how generics work in this kind of situation and why
Set<? extends Foo<?>> set3 = set1;
is allowed but Set<Foo<?>> set2 = set1;
is not?
import java.util.HashSet;
import java.util.Set;
public class TestGenerics {
public static <T> void test() {
Set<T> set1 = new HashSet<>();
Set<?> set2 = set1; // OK
}
public static <T> void test2() {
Set<Foo<T>> set1 = new HashSet<>();
Set<Foo<?>> set2 = set1; // COMPILATION ERROR
Set<? extends Foo<?>> set3 = set1; // OK
}
}
class Foo<T> {}
java generics
This question already has an answer here:
Java nested generic type mismatch
5 answers
What is PECS (Producer Extends Consumer Super)?
12 answers
I want to know how generics work in this kind of situation and why
Set<? extends Foo<?>> set3 = set1;
is allowed but Set<Foo<?>> set2 = set1;
is not?
import java.util.HashSet;
import java.util.Set;
public class TestGenerics {
public static <T> void test() {
Set<T> set1 = new HashSet<>();
Set<?> set2 = set1; // OK
}
public static <T> void test2() {
Set<Foo<T>> set1 = new HashSet<>();
Set<Foo<?>> set2 = set1; // COMPILATION ERROR
Set<? extends Foo<?>> set3 = set1; // OK
}
}
class Foo<T> {}
This question already has an answer here:
Java nested generic type mismatch
5 answers
What is PECS (Producer Extends Consumer Super)?
12 answers
java generics
java generics
edited Jan 9 at 11:15
Lii
6,95144160
6,95144160
asked Jan 9 at 8:23
Stoyan RadnevStoyan Radnev
1126
1126
marked as duplicate by Lino, aminography, Andy Turner
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Jan 9 at 13:50
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
marked as duplicate by Lino, aminography, Andy Turner
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Jan 9 at 13:50
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
An interesting reading about this "issue": stackoverflow.com/a/4343547/7709086
– kagmole
Jan 9 at 9:07
2
@Lino: This question is similar to and related to "What is PECS", but not exactly the same. This question is about PECS, but specifically applied to the case when the type arguments themselves are types which have type parameters. That makes this a particularly tricky special case, which warrants its own question. (But I'd be surprised if there is no other exactly duplicate question some where.)
– Lii
Jan 9 at 11:11
add a comment |
An interesting reading about this "issue": stackoverflow.com/a/4343547/7709086
– kagmole
Jan 9 at 9:07
2
@Lino: This question is similar to and related to "What is PECS", but not exactly the same. This question is about PECS, but specifically applied to the case when the type arguments themselves are types which have type parameters. That makes this a particularly tricky special case, which warrants its own question. (But I'd be surprised if there is no other exactly duplicate question some where.)
– Lii
Jan 9 at 11:11
An interesting reading about this "issue": stackoverflow.com/a/4343547/7709086
– kagmole
Jan 9 at 9:07
An interesting reading about this "issue": stackoverflow.com/a/4343547/7709086
– kagmole
Jan 9 at 9:07
2
2
@Lino: This question is similar to and related to "What is PECS", but not exactly the same. This question is about PECS, but specifically applied to the case when the type arguments themselves are types which have type parameters. That makes this a particularly tricky special case, which warrants its own question. (But I'd be surprised if there is no other exactly duplicate question some where.)
– Lii
Jan 9 at 11:11
@Lino: This question is similar to and related to "What is PECS", but not exactly the same. This question is about PECS, but specifically applied to the case when the type arguments themselves are types which have type parameters. That makes this a particularly tricky special case, which warrants its own question. (But I'd be surprised if there is no other exactly duplicate question some where.)
– Lii
Jan 9 at 11:11
add a comment |
4 Answers
4
active
oldest
votes
Simply said, this is because Set<? extends Foo<?>>
is covariant (with the extends
keyword). Covariant types are read-only and the compiler will refuse any write action, like Set.add(..)
.
Set<Foo<?>>
is not covariant. It does not block write or read actions.
This...
Set<Foo<String>> set1 = new HashSet<>();
Set<Foo<?>> set2 = set1; // KO by compiler
... is illegal because otherwise I could for example put a Foo<Integer>
into set1
via set2
.
set2.add(new Foo<Integer>()); // Whoopsie
But...
Set<Foo<String>> set1 = new HashSet<>();
Set<? extends Foo<?>> set3 = set1; // OK
... is covariant (extends
keyword), so it is legal. For example, the compiler will refuse a write operation like set3.add(new Foo<Integer>())
, but accept a read operation like set3.iterator()
.
Iterator<Foo<String>> fooIterator = set3.iterator(); // OK
set3.add(new Foo<String>()); // KO by compiler
See these posts for a better explanation:
- https://stackoverflow.com/a/4343547/7709086
- https://medium.freecodecamp.org/understanding-java-generic-types-covariance-and-contravariance-88f4c19763d2
3
Did you meanFoo<Integer> foo; set2.add(foo);
becauseset2.add(42)
42 isn't aFoo<?>
.
– matt
Jan 9 at 10:10
Oops thank you @matt, I fixed my answer.
– kagmole
Jan 9 at 10:39
add a comment |
Perhaps the issue becomes clearer if you leave the generic parameter of Foo out of the equation.
Consider
final Set<Foo> set1 = new HashSet<>();
Set<Object> set2 = set1;
This makes the compile error more obvious. If this was valid, it would be possible to insert an object into set2, thus into set1 violating the type constraint.
Set<? extends Foo> set3 = set1;
This is perfectly valid because set1 would also accept types derived from Foo.
1
why did you transformSet<Foo<?>>
toSet<Object>
after type erasure? I guess wildcard will be replaced byObject
since it is closest bound?
– Sergey Prokofiev
Jan 9 at 9:15
1
Foo<?>
is notObject
, it isFoo
"of something". What allows the assignment toset3
is the covariance.
– kagmole
Jan 9 at 9:41
2
Also you answer implies thatset3
is writable, which is not the case. See more about covariance and contravariance here : stackoverflow.com/a/4343547/7709086
– kagmole
Jan 9 at 9:48
add a comment |
Additionally to the answers given already I'll add some formal explanation.
Given by 4.10.2 (emp. mine)
Given a generic type declaration C (n > 0), the direct
supertypes of the parameterized type C, where Ti (1 ≤ i ≤
n) is a type, are all of the following:
D < U1 θ,...,Uk θ>, where D is a generic type which is a
direct supertype of the generic type C and θ is the
substitution [F1:=T1,...,Fn:=Tn].
C < S1,...,Sn> , where Si contains Ti (1 ≤ i ≤ n) (§4.5.1).
The type Object, if C is a generic interface type with no
direct superinterfaces.
The raw type C.
Rule for contains
are specified at 4.5.1:
A type argument T1 is said to contain another type argument T2,
written T2 <= T1, if the set of types denoted by T2 is provably a
subset of the set of types denoted by T1 under the reflexive and
transitive closure of the following rules (where <: denotes subtyping
(§4.10)):
? extends T <= ? extends S if T <: S
? extends T <= ?
? super T <= ? super S if S <: T
? super T <= ?
? super T <= ? extends Object
T <= T
T <= ? extends T
T <= ? super T
Since T <= ? super T <= ? extends Object = ?
so applying 4.10.2 Foo<T> <: Foo<?>
we have ? extends Foo<T> <= ? extends Foo<?>
. But Foo<T> <= ? extends Foo<T>
so we have Foo<T> <= ? extends Foo<?>
.
Applying 4.10.2 we have that Set<? extends Foo<?>>
is a direct supertype of Set<Foo<T>>
.
The formal answer to why your first example does not compile may be got by assuming a contradiction. Percisely:
If Set<Foo<T>> <: Set<Foo<?>>
we have that Foo<T> <= Foo<?>
which is not possible to prove applying reflexive or transitive relations to rules from 4.5.1.
add a comment |
I think simply because the Set
element Datatype is different while it must be the same except for Generic Datatype.
the first set Set<Foo<T>>
datatype is Foo<T>
,
then second set Set<Foo<?>>
is Foo<?>
,
As I can see the element datatype is different Foo<T> != Foo<?>
and not generic type because it use Foo
, so then would cause compilation error.
It is same as below invalid different datatype example :
Set<List<T>> set3 = new HashSet<>();
Set<List<?>> set4 = set3; // compilation error due to different element datatype List<T> != List<?>
Set<? extends Foo<?>> set3 = set1;
can because it have ? datatype
which is generic and have purpose can accept any datatype.
ex :
Set<List<T>> set4 = new HashSet<>();
Set<?> set5 = set4; // would be Ok
add a comment |
4 Answers
4
active
oldest
votes
4 Answers
4
active
oldest
votes
active
oldest
votes
active
oldest
votes
Simply said, this is because Set<? extends Foo<?>>
is covariant (with the extends
keyword). Covariant types are read-only and the compiler will refuse any write action, like Set.add(..)
.
Set<Foo<?>>
is not covariant. It does not block write or read actions.
This...
Set<Foo<String>> set1 = new HashSet<>();
Set<Foo<?>> set2 = set1; // KO by compiler
... is illegal because otherwise I could for example put a Foo<Integer>
into set1
via set2
.
set2.add(new Foo<Integer>()); // Whoopsie
But...
Set<Foo<String>> set1 = new HashSet<>();
Set<? extends Foo<?>> set3 = set1; // OK
... is covariant (extends
keyword), so it is legal. For example, the compiler will refuse a write operation like set3.add(new Foo<Integer>())
, but accept a read operation like set3.iterator()
.
Iterator<Foo<String>> fooIterator = set3.iterator(); // OK
set3.add(new Foo<String>()); // KO by compiler
See these posts for a better explanation:
- https://stackoverflow.com/a/4343547/7709086
- https://medium.freecodecamp.org/understanding-java-generic-types-covariance-and-contravariance-88f4c19763d2
3
Did you meanFoo<Integer> foo; set2.add(foo);
becauseset2.add(42)
42 isn't aFoo<?>
.
– matt
Jan 9 at 10:10
Oops thank you @matt, I fixed my answer.
– kagmole
Jan 9 at 10:39
add a comment |
Simply said, this is because Set<? extends Foo<?>>
is covariant (with the extends
keyword). Covariant types are read-only and the compiler will refuse any write action, like Set.add(..)
.
Set<Foo<?>>
is not covariant. It does not block write or read actions.
This...
Set<Foo<String>> set1 = new HashSet<>();
Set<Foo<?>> set2 = set1; // KO by compiler
... is illegal because otherwise I could for example put a Foo<Integer>
into set1
via set2
.
set2.add(new Foo<Integer>()); // Whoopsie
But...
Set<Foo<String>> set1 = new HashSet<>();
Set<? extends Foo<?>> set3 = set1; // OK
... is covariant (extends
keyword), so it is legal. For example, the compiler will refuse a write operation like set3.add(new Foo<Integer>())
, but accept a read operation like set3.iterator()
.
Iterator<Foo<String>> fooIterator = set3.iterator(); // OK
set3.add(new Foo<String>()); // KO by compiler
See these posts for a better explanation:
- https://stackoverflow.com/a/4343547/7709086
- https://medium.freecodecamp.org/understanding-java-generic-types-covariance-and-contravariance-88f4c19763d2
3
Did you meanFoo<Integer> foo; set2.add(foo);
becauseset2.add(42)
42 isn't aFoo<?>
.
– matt
Jan 9 at 10:10
Oops thank you @matt, I fixed my answer.
– kagmole
Jan 9 at 10:39
add a comment |
Simply said, this is because Set<? extends Foo<?>>
is covariant (with the extends
keyword). Covariant types are read-only and the compiler will refuse any write action, like Set.add(..)
.
Set<Foo<?>>
is not covariant. It does not block write or read actions.
This...
Set<Foo<String>> set1 = new HashSet<>();
Set<Foo<?>> set2 = set1; // KO by compiler
... is illegal because otherwise I could for example put a Foo<Integer>
into set1
via set2
.
set2.add(new Foo<Integer>()); // Whoopsie
But...
Set<Foo<String>> set1 = new HashSet<>();
Set<? extends Foo<?>> set3 = set1; // OK
... is covariant (extends
keyword), so it is legal. For example, the compiler will refuse a write operation like set3.add(new Foo<Integer>())
, but accept a read operation like set3.iterator()
.
Iterator<Foo<String>> fooIterator = set3.iterator(); // OK
set3.add(new Foo<String>()); // KO by compiler
See these posts for a better explanation:
- https://stackoverflow.com/a/4343547/7709086
- https://medium.freecodecamp.org/understanding-java-generic-types-covariance-and-contravariance-88f4c19763d2
Simply said, this is because Set<? extends Foo<?>>
is covariant (with the extends
keyword). Covariant types are read-only and the compiler will refuse any write action, like Set.add(..)
.
Set<Foo<?>>
is not covariant. It does not block write or read actions.
This...
Set<Foo<String>> set1 = new HashSet<>();
Set<Foo<?>> set2 = set1; // KO by compiler
... is illegal because otherwise I could for example put a Foo<Integer>
into set1
via set2
.
set2.add(new Foo<Integer>()); // Whoopsie
But...
Set<Foo<String>> set1 = new HashSet<>();
Set<? extends Foo<?>> set3 = set1; // OK
... is covariant (extends
keyword), so it is legal. For example, the compiler will refuse a write operation like set3.add(new Foo<Integer>())
, but accept a read operation like set3.iterator()
.
Iterator<Foo<String>> fooIterator = set3.iterator(); // OK
set3.add(new Foo<String>()); // KO by compiler
See these posts for a better explanation:
- https://stackoverflow.com/a/4343547/7709086
- https://medium.freecodecamp.org/understanding-java-generic-types-covariance-and-contravariance-88f4c19763d2
edited Jan 9 at 12:36
JimmyB
9,42311638
9,42311638
answered Jan 9 at 9:16
kagmolekagmole
1,072318
1,072318
3
Did you meanFoo<Integer> foo; set2.add(foo);
becauseset2.add(42)
42 isn't aFoo<?>
.
– matt
Jan 9 at 10:10
Oops thank you @matt, I fixed my answer.
– kagmole
Jan 9 at 10:39
add a comment |
3
Did you meanFoo<Integer> foo; set2.add(foo);
becauseset2.add(42)
42 isn't aFoo<?>
.
– matt
Jan 9 at 10:10
Oops thank you @matt, I fixed my answer.
– kagmole
Jan 9 at 10:39
3
3
Did you mean
Foo<Integer> foo; set2.add(foo);
because set2.add(42)
42 isn't a Foo<?>
.– matt
Jan 9 at 10:10
Did you mean
Foo<Integer> foo; set2.add(foo);
because set2.add(42)
42 isn't a Foo<?>
.– matt
Jan 9 at 10:10
Oops thank you @matt, I fixed my answer.
– kagmole
Jan 9 at 10:39
Oops thank you @matt, I fixed my answer.
– kagmole
Jan 9 at 10:39
add a comment |
Perhaps the issue becomes clearer if you leave the generic parameter of Foo out of the equation.
Consider
final Set<Foo> set1 = new HashSet<>();
Set<Object> set2 = set1;
This makes the compile error more obvious. If this was valid, it would be possible to insert an object into set2, thus into set1 violating the type constraint.
Set<? extends Foo> set3 = set1;
This is perfectly valid because set1 would also accept types derived from Foo.
1
why did you transformSet<Foo<?>>
toSet<Object>
after type erasure? I guess wildcard will be replaced byObject
since it is closest bound?
– Sergey Prokofiev
Jan 9 at 9:15
1
Foo<?>
is notObject
, it isFoo
"of something". What allows the assignment toset3
is the covariance.
– kagmole
Jan 9 at 9:41
2
Also you answer implies thatset3
is writable, which is not the case. See more about covariance and contravariance here : stackoverflow.com/a/4343547/7709086
– kagmole
Jan 9 at 9:48
add a comment |
Perhaps the issue becomes clearer if you leave the generic parameter of Foo out of the equation.
Consider
final Set<Foo> set1 = new HashSet<>();
Set<Object> set2 = set1;
This makes the compile error more obvious. If this was valid, it would be possible to insert an object into set2, thus into set1 violating the type constraint.
Set<? extends Foo> set3 = set1;
This is perfectly valid because set1 would also accept types derived from Foo.
1
why did you transformSet<Foo<?>>
toSet<Object>
after type erasure? I guess wildcard will be replaced byObject
since it is closest bound?
– Sergey Prokofiev
Jan 9 at 9:15
1
Foo<?>
is notObject
, it isFoo
"of something". What allows the assignment toset3
is the covariance.
– kagmole
Jan 9 at 9:41
2
Also you answer implies thatset3
is writable, which is not the case. See more about covariance and contravariance here : stackoverflow.com/a/4343547/7709086
– kagmole
Jan 9 at 9:48
add a comment |
Perhaps the issue becomes clearer if you leave the generic parameter of Foo out of the equation.
Consider
final Set<Foo> set1 = new HashSet<>();
Set<Object> set2 = set1;
This makes the compile error more obvious. If this was valid, it would be possible to insert an object into set2, thus into set1 violating the type constraint.
Set<? extends Foo> set3 = set1;
This is perfectly valid because set1 would also accept types derived from Foo.
Perhaps the issue becomes clearer if you leave the generic parameter of Foo out of the equation.
Consider
final Set<Foo> set1 = new HashSet<>();
Set<Object> set2 = set1;
This makes the compile error more obvious. If this was valid, it would be possible to insert an object into set2, thus into set1 violating the type constraint.
Set<? extends Foo> set3 = set1;
This is perfectly valid because set1 would also accept types derived from Foo.
edited Jan 9 at 8:58
answered Jan 9 at 8:42
leftbitleftbit
602514
602514
1
why did you transformSet<Foo<?>>
toSet<Object>
after type erasure? I guess wildcard will be replaced byObject
since it is closest bound?
– Sergey Prokofiev
Jan 9 at 9:15
1
Foo<?>
is notObject
, it isFoo
"of something". What allows the assignment toset3
is the covariance.
– kagmole
Jan 9 at 9:41
2
Also you answer implies thatset3
is writable, which is not the case. See more about covariance and contravariance here : stackoverflow.com/a/4343547/7709086
– kagmole
Jan 9 at 9:48
add a comment |
1
why did you transformSet<Foo<?>>
toSet<Object>
after type erasure? I guess wildcard will be replaced byObject
since it is closest bound?
– Sergey Prokofiev
Jan 9 at 9:15
1
Foo<?>
is notObject
, it isFoo
"of something". What allows the assignment toset3
is the covariance.
– kagmole
Jan 9 at 9:41
2
Also you answer implies thatset3
is writable, which is not the case. See more about covariance and contravariance here : stackoverflow.com/a/4343547/7709086
– kagmole
Jan 9 at 9:48
1
1
why did you transform
Set<Foo<?>>
to Set<Object>
after type erasure? I guess wildcard will be replaced by Object
since it is closest bound?– Sergey Prokofiev
Jan 9 at 9:15
why did you transform
Set<Foo<?>>
to Set<Object>
after type erasure? I guess wildcard will be replaced by Object
since it is closest bound?– Sergey Prokofiev
Jan 9 at 9:15
1
1
Foo<?>
is not Object
, it is Foo
"of something". What allows the assignment to set3
is the covariance.– kagmole
Jan 9 at 9:41
Foo<?>
is not Object
, it is Foo
"of something". What allows the assignment to set3
is the covariance.– kagmole
Jan 9 at 9:41
2
2
Also you answer implies that
set3
is writable, which is not the case. See more about covariance and contravariance here : stackoverflow.com/a/4343547/7709086– kagmole
Jan 9 at 9:48
Also you answer implies that
set3
is writable, which is not the case. See more about covariance and contravariance here : stackoverflow.com/a/4343547/7709086– kagmole
Jan 9 at 9:48
add a comment |
Additionally to the answers given already I'll add some formal explanation.
Given by 4.10.2 (emp. mine)
Given a generic type declaration C (n > 0), the direct
supertypes of the parameterized type C, where Ti (1 ≤ i ≤
n) is a type, are all of the following:
D < U1 θ,...,Uk θ>, where D is a generic type which is a
direct supertype of the generic type C and θ is the
substitution [F1:=T1,...,Fn:=Tn].
C < S1,...,Sn> , where Si contains Ti (1 ≤ i ≤ n) (§4.5.1).
The type Object, if C is a generic interface type with no
direct superinterfaces.
The raw type C.
Rule for contains
are specified at 4.5.1:
A type argument T1 is said to contain another type argument T2,
written T2 <= T1, if the set of types denoted by T2 is provably a
subset of the set of types denoted by T1 under the reflexive and
transitive closure of the following rules (where <: denotes subtyping
(§4.10)):
? extends T <= ? extends S if T <: S
? extends T <= ?
? super T <= ? super S if S <: T
? super T <= ?
? super T <= ? extends Object
T <= T
T <= ? extends T
T <= ? super T
Since T <= ? super T <= ? extends Object = ?
so applying 4.10.2 Foo<T> <: Foo<?>
we have ? extends Foo<T> <= ? extends Foo<?>
. But Foo<T> <= ? extends Foo<T>
so we have Foo<T> <= ? extends Foo<?>
.
Applying 4.10.2 we have that Set<? extends Foo<?>>
is a direct supertype of Set<Foo<T>>
.
The formal answer to why your first example does not compile may be got by assuming a contradiction. Percisely:
If Set<Foo<T>> <: Set<Foo<?>>
we have that Foo<T> <= Foo<?>
which is not possible to prove applying reflexive or transitive relations to rules from 4.5.1.
add a comment |
Additionally to the answers given already I'll add some formal explanation.
Given by 4.10.2 (emp. mine)
Given a generic type declaration C (n > 0), the direct
supertypes of the parameterized type C, where Ti (1 ≤ i ≤
n) is a type, are all of the following:
D < U1 θ,...,Uk θ>, where D is a generic type which is a
direct supertype of the generic type C and θ is the
substitution [F1:=T1,...,Fn:=Tn].
C < S1,...,Sn> , where Si contains Ti (1 ≤ i ≤ n) (§4.5.1).
The type Object, if C is a generic interface type with no
direct superinterfaces.
The raw type C.
Rule for contains
are specified at 4.5.1:
A type argument T1 is said to contain another type argument T2,
written T2 <= T1, if the set of types denoted by T2 is provably a
subset of the set of types denoted by T1 under the reflexive and
transitive closure of the following rules (where <: denotes subtyping
(§4.10)):
? extends T <= ? extends S if T <: S
? extends T <= ?
? super T <= ? super S if S <: T
? super T <= ?
? super T <= ? extends Object
T <= T
T <= ? extends T
T <= ? super T
Since T <= ? super T <= ? extends Object = ?
so applying 4.10.2 Foo<T> <: Foo<?>
we have ? extends Foo<T> <= ? extends Foo<?>
. But Foo<T> <= ? extends Foo<T>
so we have Foo<T> <= ? extends Foo<?>
.
Applying 4.10.2 we have that Set<? extends Foo<?>>
is a direct supertype of Set<Foo<T>>
.
The formal answer to why your first example does not compile may be got by assuming a contradiction. Percisely:
If Set<Foo<T>> <: Set<Foo<?>>
we have that Foo<T> <= Foo<?>
which is not possible to prove applying reflexive or transitive relations to rules from 4.5.1.
add a comment |
Additionally to the answers given already I'll add some formal explanation.
Given by 4.10.2 (emp. mine)
Given a generic type declaration C (n > 0), the direct
supertypes of the parameterized type C, where Ti (1 ≤ i ≤
n) is a type, are all of the following:
D < U1 θ,...,Uk θ>, where D is a generic type which is a
direct supertype of the generic type C and θ is the
substitution [F1:=T1,...,Fn:=Tn].
C < S1,...,Sn> , where Si contains Ti (1 ≤ i ≤ n) (§4.5.1).
The type Object, if C is a generic interface type with no
direct superinterfaces.
The raw type C.
Rule for contains
are specified at 4.5.1:
A type argument T1 is said to contain another type argument T2,
written T2 <= T1, if the set of types denoted by T2 is provably a
subset of the set of types denoted by T1 under the reflexive and
transitive closure of the following rules (where <: denotes subtyping
(§4.10)):
? extends T <= ? extends S if T <: S
? extends T <= ?
? super T <= ? super S if S <: T
? super T <= ?
? super T <= ? extends Object
T <= T
T <= ? extends T
T <= ? super T
Since T <= ? super T <= ? extends Object = ?
so applying 4.10.2 Foo<T> <: Foo<?>
we have ? extends Foo<T> <= ? extends Foo<?>
. But Foo<T> <= ? extends Foo<T>
so we have Foo<T> <= ? extends Foo<?>
.
Applying 4.10.2 we have that Set<? extends Foo<?>>
is a direct supertype of Set<Foo<T>>
.
The formal answer to why your first example does not compile may be got by assuming a contradiction. Percisely:
If Set<Foo<T>> <: Set<Foo<?>>
we have that Foo<T> <= Foo<?>
which is not possible to prove applying reflexive or transitive relations to rules from 4.5.1.
Additionally to the answers given already I'll add some formal explanation.
Given by 4.10.2 (emp. mine)
Given a generic type declaration C (n > 0), the direct
supertypes of the parameterized type C, where Ti (1 ≤ i ≤
n) is a type, are all of the following:
D < U1 θ,...,Uk θ>, where D is a generic type which is a
direct supertype of the generic type C and θ is the
substitution [F1:=T1,...,Fn:=Tn].
C < S1,...,Sn> , where Si contains Ti (1 ≤ i ≤ n) (§4.5.1).
The type Object, if C is a generic interface type with no
direct superinterfaces.
The raw type C.
Rule for contains
are specified at 4.5.1:
A type argument T1 is said to contain another type argument T2,
written T2 <= T1, if the set of types denoted by T2 is provably a
subset of the set of types denoted by T1 under the reflexive and
transitive closure of the following rules (where <: denotes subtyping
(§4.10)):
? extends T <= ? extends S if T <: S
? extends T <= ?
? super T <= ? super S if S <: T
? super T <= ?
? super T <= ? extends Object
T <= T
T <= ? extends T
T <= ? super T
Since T <= ? super T <= ? extends Object = ?
so applying 4.10.2 Foo<T> <: Foo<?>
we have ? extends Foo<T> <= ? extends Foo<?>
. But Foo<T> <= ? extends Foo<T>
so we have Foo<T> <= ? extends Foo<?>
.
Applying 4.10.2 we have that Set<? extends Foo<?>>
is a direct supertype of Set<Foo<T>>
.
The formal answer to why your first example does not compile may be got by assuming a contradiction. Percisely:
If Set<Foo<T>> <: Set<Foo<?>>
we have that Foo<T> <= Foo<?>
which is not possible to prove applying reflexive or transitive relations to rules from 4.5.1.
edited Jan 9 at 10:29
answered Jan 9 at 10:08
St.AntarioSt.Antario
9,5311553143
9,5311553143
add a comment |
add a comment |
I think simply because the Set
element Datatype is different while it must be the same except for Generic Datatype.
the first set Set<Foo<T>>
datatype is Foo<T>
,
then second set Set<Foo<?>>
is Foo<?>
,
As I can see the element datatype is different Foo<T> != Foo<?>
and not generic type because it use Foo
, so then would cause compilation error.
It is same as below invalid different datatype example :
Set<List<T>> set3 = new HashSet<>();
Set<List<?>> set4 = set3; // compilation error due to different element datatype List<T> != List<?>
Set<? extends Foo<?>> set3 = set1;
can because it have ? datatype
which is generic and have purpose can accept any datatype.
ex :
Set<List<T>> set4 = new HashSet<>();
Set<?> set5 = set4; // would be Ok
add a comment |
I think simply because the Set
element Datatype is different while it must be the same except for Generic Datatype.
the first set Set<Foo<T>>
datatype is Foo<T>
,
then second set Set<Foo<?>>
is Foo<?>
,
As I can see the element datatype is different Foo<T> != Foo<?>
and not generic type because it use Foo
, so then would cause compilation error.
It is same as below invalid different datatype example :
Set<List<T>> set3 = new HashSet<>();
Set<List<?>> set4 = set3; // compilation error due to different element datatype List<T> != List<?>
Set<? extends Foo<?>> set3 = set1;
can because it have ? datatype
which is generic and have purpose can accept any datatype.
ex :
Set<List<T>> set4 = new HashSet<>();
Set<?> set5 = set4; // would be Ok
add a comment |
I think simply because the Set
element Datatype is different while it must be the same except for Generic Datatype.
the first set Set<Foo<T>>
datatype is Foo<T>
,
then second set Set<Foo<?>>
is Foo<?>
,
As I can see the element datatype is different Foo<T> != Foo<?>
and not generic type because it use Foo
, so then would cause compilation error.
It is same as below invalid different datatype example :
Set<List<T>> set3 = new HashSet<>();
Set<List<?>> set4 = set3; // compilation error due to different element datatype List<T> != List<?>
Set<? extends Foo<?>> set3 = set1;
can because it have ? datatype
which is generic and have purpose can accept any datatype.
ex :
Set<List<T>> set4 = new HashSet<>();
Set<?> set5 = set4; // would be Ok
I think simply because the Set
element Datatype is different while it must be the same except for Generic Datatype.
the first set Set<Foo<T>>
datatype is Foo<T>
,
then second set Set<Foo<?>>
is Foo<?>
,
As I can see the element datatype is different Foo<T> != Foo<?>
and not generic type because it use Foo
, so then would cause compilation error.
It is same as below invalid different datatype example :
Set<List<T>> set3 = new HashSet<>();
Set<List<?>> set4 = set3; // compilation error due to different element datatype List<T> != List<?>
Set<? extends Foo<?>> set3 = set1;
can because it have ? datatype
which is generic and have purpose can accept any datatype.
ex :
Set<List<T>> set4 = new HashSet<>();
Set<?> set5 = set4; // would be Ok
edited Jan 9 at 10:56
answered Jan 9 at 10:29
m fauzan abdim fauzan abdi
34129
34129
add a comment |
add a comment |
An interesting reading about this "issue": stackoverflow.com/a/4343547/7709086
– kagmole
Jan 9 at 9:07
2
@Lino: This question is similar to and related to "What is PECS", but not exactly the same. This question is about PECS, but specifically applied to the case when the type arguments themselves are types which have type parameters. That makes this a particularly tricky special case, which warrants its own question. (But I'd be surprised if there is no other exactly duplicate question some where.)
– Lii
Jan 9 at 11:11